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Finding the Fourth Proportional to 1,179.20, 1,623.57 and 898.54

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Solution

The fourth proportional to 1,179.20, 1,623.57 and 898.54 is: 1,237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.20 : 1,623.57 = 898.54 : x
  2. Step 2: Convert to fraction form
    1,179.20/1,623.57 = 898.54/x
  3. Step 3: Cross multiply
    1,179.20x = 1,623.57 × 898.54
  4. Step 4: Simplify right side
    1,179.20x = 1,458,834.47
  5. Step 5: Solve for x
    x = 1,458,834.47/1,179.20
  6. Step 6: Final answer
    x = 1,237.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.